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Finding the Fourth Proportional to 421,628.13, 581,846.63 and 230,641.47

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Solution

The fourth proportional to 421,628.13, 581,846.63 and 230,641.47 is: 318,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,628.13 : 581,846.63 = 230,641.47 : x
  2. Step 2: Convert to fraction form
    421,628.13/581,846.63 = 230,641.47/x
  3. Step 3: Cross multiply
    421,628.13x = 581,846.63 × 230,641.47
  4. Step 4: Simplify right side
    421,628.13x = 134,197,960,904.54
  5. Step 5: Solve for x
    x = 134,197,960,904.54/421,628.13
  6. Step 6: Final answer
    x = 318,285.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.